Question

You invested in a $5,000 bond in 2012 with a coupon rate of 6%. What will be its value in 2018 if the required rate of return is now 8%?

Answer 1

Answer:

$4540.19

Explanation:

Step 1: Get the formula for the value of the bond  in 2018

Formula= P * (1+r)n

P= Investment = $5000

r= Coupon rate=6%

n= Period or number of years = 6 years

Step 2: Calculate the value of the bond in 2018

Value of the bond in 2018= 5000 * (1+ 0.06)6

= 7092.60

Step 3: Calculate the Present value of the bond

Formula= (P x Present Value Factor) + (Interest x The present value interest factor of an annuity (PVIFA))

(P x Present Value Factor) = (5000 x 1\(1+r)^n)

where r= rate of return= 8%

n= years = 6

(Interest x The present value interest factor of an annuity (PVIFA) =

Interest = (Coupon rate x Investment)

PVIFA= 1\(1+r)^n}

where r= rate of return= 8%

n= years = 6

= (5000 x  0.6307) + (300 x 4.6223 )

=4540.19